Results 21 to 30 of about 7,369,874 (310)
Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains [PDF]
Let $D$ be a pseudoconvex domain in $\C^k_t\times\Cn_z$ and let $\phi$ be a plurisubharmonic function in $D$. For each $t$ we consider the $n$-dimensional slice of $D$, $D_t=\{z; (t,z)\in D\}$, let $\phi^t$ be the restriction of $\phi$ to $D_t$ and ...
Berndtsson, Bo
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The Univalent Function Created by the Meromorphic Functions Where Defined on the Period Lattice
The function $ \xi(z)$ is obtained from the logarithmic derivative function $\sigma(z)$. The elliptic function $ \wp(z) $ is also derived from the $ \xi(z) $ function.
Hasan Sahin, İsmet Yıldız
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Measuring the Cosmological Geometry from the Lyman Alpha Forest along Parallel Lines of Sight [PDF]
We discuss the feasibility of measuring the cosmological metric using the redshift space correlation function of the Lya forest in multiple lines of sight, as a function of angular and velocity separation. The geometric parameter that is measured is f(z)
Ballinger W. E. +7 more
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A characterization of pseudocompactness
It is proved here that a completely regular Hausdorff space X is pseudocompact if and only if for any continuous function f from X to a pseudocompact space (or a compact space) Y, f*ϕ is z-ultrafilter whenever ϕ is a z-ultrafilter on X.
Prabduh Ram Misra, Vinodkumar
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SOME RESULTS ON JACK’S LEMMA FOR ANALYTIC FUNCTIONS
In this paper, an upper bound will be found for the second coefficient in the Taylor expansion of the analytical function $p(z)$ using the Jack lemma. Also, the modulus of the angular derivative of the $I_{f}(z)=\frac{zp^{\prime }(z)}{p(z)}$ function on ...
Bülent Nafi Örnek
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A Matrix Integral Solution to [P,Q]=P and Matrix Laplace Transforms [PDF]
In this paper we solve the following problems: (i) find two differential operators P and Q satisfying [P,Q]=P, where P flows according to the KP hierarchy \partial P/\partial t_n = [(P^{n/p})_+,P], with p := \ord P\ge 2; (ii) find a matrix integral ...
A. Morozov +32 more
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Hardy’s function Z(t): Results and problems [PDF]
15 pages.
openaire +3 more sources
Connection between Distribution and Fragmentation Functions [PDF]
We show that the quark fragmentation function $D(z)$ and the quark distribution function $q(x)$ are connected in the $z \to 1$ limit by the approximate relation $D(z)/z \simeq q(2-1/z)$, where both quantities are in their physical regions.
Barone, Vincenzo +2 more
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Sufficient conditions for starlikeness associated with parabolic region
An analytic function f(z)=z+a n+1 z n+1+⋯, defined on the unit disk △={z:|z||w−1|. This class is closely related to the class of uniformly convex functions. Sufficient conditions for function to be in S p are obtained. In particular,
V. Ravichandran +2 more
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On the order of indeterminate moment problems [PDF]
For an indeterminate moment problem we denote the orthonormal polynomials by P_n. We study the relation between the growth of the function P(z)=(\sum_{n=0}^\infty|P_n(z)|^2)^{1/2} and summability properties of the sequence (P_n(z)).
Berg, Christian, Szwarc, Ryszard
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